Pseudo-semaphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.
It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as superpyth in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
Interval chain
204.
448.
692.
936.
1180.
224.
468.
712.
956.
0.
244.
488.
732.
976.
20.
264.
508.
752.
996.
9/8
9/7
3/2 (flat)
12/7
9/8~8/7
3/2 (sharp)
1/1
4/3 (flat)
7/4~16/9
7/6
4/3 (sharp)
14/9
16/9
MOSes
5-note (LLLLs, proper)
The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using semaphore[5] or superpyth[5] (or 5edo).
Small ("minor") interval
224.
468.
712.
956.
JI intervals represented
9/8~8/7
3/2
Large ("major") interval
244.
488.
732.
976.
JI intervals represented
4/3
7/4~16/9
9-note (LLsLsLsLs, improper)
Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in 9edo.
It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as superpyth in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
Interval chain
MOSes
5-note (LLLLs, proper)
The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using semaphore[5] or superpyth[5] (or 5edo).9-note (LLsLsLsLs, improper)
Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in 9edo.